1977
DOI: 10.1016/0032-3950(77)90155-1
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The nature of the anomalous viscosity of filled polymers as a function of concentration at low filler contents

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Cited by 5 publications
(9 citation statements)
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“…The experimental findings of the optimal filler concentrations and thickness (depth) of the boundary layer can be estimated. According to Prokopenko, the model boundary level should be twice as thick as the minimum thickness, which equals the distance between the filler particle surfaces. The depth can be calculated using this formula in the case in which particles are spherical and regularly distributed:r=R(5.92italicφ32) in which r is the distance between the surfaces of neighboring particles, R the average radius of the particles, and φ the filler content by volume .…”
Section: Discussionsupporting
confidence: 91%
See 1 more Smart Citation
“…The experimental findings of the optimal filler concentrations and thickness (depth) of the boundary layer can be estimated. According to Prokopenko, the model boundary level should be twice as thick as the minimum thickness, which equals the distance between the filler particle surfaces. The depth can be calculated using this formula in the case in which particles are spherical and regularly distributed:r=R(5.92italicφ32) in which r is the distance between the surfaces of neighboring particles, R the average radius of the particles, and φ the filler content by volume .…”
Section: Discussionsupporting
confidence: 91%
“…Figure shows the relative viscosity of each composite as a function of oxide filler content. The TiO 2 did not produce any relative viscosity drop, which agrees quite well with the results of Prokopenko et al . However, the Al 2 O 3 and the ZnO filler show relative viscosity drops as the filler content increased, remaining saturated with the maximum filler content.…”
Section: Discussionmentioning
confidence: 75%
“…It is precisely the loosening of a portion of polymer to which the authors of [47] attribute the observed decrease of viscosity when small quantities of filler are added. In their opinion, the filler particles added to the polymer melt tend to form a double shell (the inner one characterized by high density and a looser outer one) around themselves.…”
Section: The Lnterphase Conceptmentioning
confidence: 96%
“…Even for fillers of narrow size analysis the viscosity of filled systems depends heavily on its particle size, increasing as they decrease, as shown, for example, in [45,46]. It is even more difficult, relying on hydrodynamical models, to explain the frequently observed decrease, rather than increase, of viscosity when a certain quantity of filler is added [47][48][49][50]. It became possible to elucidate such experimental facts when it was proposed that considerable restructuring, manifesting itself in the appearance of boundary layers, occurs in the matrix under the effect of a filler [51][52][53][54][55][56].…”
mentioning
confidence: 98%
“…Earlier works can be traced back to the work of Malinskii and coworkers in the 1970s, where an anomalous reduction of the PVC melt viscosity caused by the addition of NPs was reported 16 , it was attributed to the creation of additional free volume at the polymer/NP boundary surface region 16,17 . However, it reverted to a viscosity increase with a further increase in NP loading ().…”
Section: Introductionmentioning
confidence: 99%